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8. Application of Integrals
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Q6 of 40 Page 371

Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is

The smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is shown by shaded region.


We can see that


Area ACBA = Area (OACBO) - Area (ΔOAB)





= (π – 2) units

More from this chapter

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4

Using integration find the area of region bounded by the triangle whose vertices are (– 1, 0), (1, 3) and (3, 2).

5

Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x + 1 and x = 4.

7

Area lying between the curves y2 = 4x and y = 2x is

1

Find the area under the given curves and given lines:

y = x2, x = 1, x = 2 and x-axis

Questions · 40
8. Application of Integrals
1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
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